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Finding the Fourth Proportional to 1,947.68, 2,920.02 and 648.44

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Solution

The fourth proportional to 1,947.68, 2,920.02 and 648.44 is: 972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.68 : 2,920.02 = 648.44 : x
  2. Step 2: Convert to fraction form
    1,947.68/2,920.02 = 648.44/x
  3. Step 3: Cross multiply
    1,947.68x = 2,920.02 × 648.44
  4. Step 4: Simplify right side
    1,947.68x = 1,893,457.77
  5. Step 5: Solve for x
    x = 1,893,457.77/1,947.68
  6. Step 6: Final answer
    x = 972.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.